Is it important what happened in past lotto drawings?

Posted by Steve Cochrane on July 28, 2000.
I have read through the mathmatical justifications for the Lotto systems posted here and can't say I understand them completely. The thing that I really don't get is - what difference does it make what happened in past lotto drawings? Statistics theory as I learned it says that in an honest game every lottery combination has equal probability, each time regardless of what happened before. If that's true why wouldn't a play of 1,2,3,4,5,6 be as likely an outcome as anything generated by the lotto software programs?
Follow Ups:
Resources in Theory of Probability, Mathematics, Statistics, Combinatorics, Software.
See a comprehensive directory of the pages and materials on the subject of theory of probability, mathematics, statistics, combinatorics, plus software.